Question

In a class of 70 students, 45 students like to play Cricket. 52 students like to playKho-kho. All the students like to play atleast one of the two games. How many students like to play Cricket or Kho-kho ?​

Answer 1

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• Total number of students = 70
• Let A be the set of students who likes to play Cricket. Let B be the set of students who likes to play Kho-kho.Hence the number of students who likes to play Cricket or Kho-kho is n (A È B )
• n (A È B ) = 70
• Number of students who likes to play both Cricket and Kho-kho = n (A Ç B)
• n (A) = 45, n (B) = 52
• We know, n (A È B ) = n (A) + n (B) - n (A Ç B) .
• n (A Ç B) = n (A) + n (B) - n (A È B )
• 45 + 52 - 70 = 27
• Number of students who likes to play both the games are 27,
• Number of students who likes to play Kho-kho are 45.
• Number of students who likes to play only Cricket = 45 -27 = 18
• A Ç B is the set of students who play both the games. \ n (A Ç B)= 27

Answer 2

Answer:

Total number of students = 70

Let A be the set of students who likes to play Cricket.

Let B be the set of students who likes to play Kho-kho.

Hence the number of students who likes to play

Cricket or Kho-kho is n (A U B )

n (A U B ) = 70

Number of students who likes to play both Cricket and

Kho-kho = n (A n B)

n (A) = 45, n (B) = 52

We know, n (A U B ) = n (A) + n (B) - n (A n B) .

n (A n B) = n (A) + n (B) - n (A U B )

= 45 + 52 - 70 = 27

Number of students who likes to play both the games are 27,

Number of students who likes to play Kho-kho are 45.

Number of students who likes to play only Cricket = 45 -27 = 18

A n B is the set of students who play both the games.

n (A n B) = 27